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Creators/Authors contains: "Manin, Yuri"

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  1. ; (, Compositionality)
    In this paper we develop a novel mathematical formalism for the modeling ofneural information networks endowed with additional structure in the form ofassignments of resources, either computational or metabolic or informational.The starting point for this construction is the notion of summing functors andof Segal's Gamma-spaces in homotopy theory. The main results in this paperinclude functorial assignments of concurrent/distributed computingarchitectures and associated binary codes to networks and their subsystems, acategorical form of the Hopfield network dynamics, which recovers the usualHopfield equations when applied to a suitable category of weighted codes, afunctorial assignment to networks of corresponding information structures andinformation cohomology, and a cohomological version of integrated information. 
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  2. ; (, Complex Analysis and Operator Theory)
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  3. ; ; (, IRMA Lect. Math. Theor. Phys., 34, European Mathematical Society)
    Accepted Manuscript Full Text Available
  4. ; ; (, Pure and Applied Mathematics Quarterly)
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  5. ; ; (, Dialogues Between Physics and Mathematics)
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  6. ; (, Mathematics in Computer Science)
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